Are you activating the washer by pushing the end of the turn signal stalk INWARD toward the steering column (center of the car)?
It's not all that uncommon for the nozzles to clog, or even the lines. Good chance the lines are old and brittle themselves (mine are on my E500). Good project to replace the lines (new line is cheap via AutohauzAZ) and order two new nozzles. They are not all that expensive either. I've replaced the nozzles on a couple of my cars.
I'd recommend unhooking the lines from the nipples on the nozzles, and activating the washer. if you get any fluid out the ends of the lines, you know it's the nozzles that are clogged (unlikely that it's both of them though -- typically one of the two squirters at each side's nozzle is clogged, not both of them, but stranger things have happened). If no fluid comes out, then you know it's either the motor or a line. One motor goes to the headlamp wipers/washers, the other motor goes to the windshield washers. Determine by feel/sound (disconnect the headlight pump electrically) to see if the windshield pump is operating, and vice versa to see if the headlight pump is working.
If the pumps are both working, and the lines are not clogged, then it's somehow an obstruction in the reservoir itself. You'll have to remove the cap and take out the heating element, and see what the situation is at the bottom of the reservoir. Remove the pumps and check the intakes at the pumps to ensure they are not clogged.
Methodical diagnosis, starting at the windshield squirters, is the way to isolate the problem.
Cheers,
Gerry